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inna [77]
3 years ago
5

3 adult tickets and 1 child ticket to a play cost $38. 3 adult and 3 children tickets cost $52. what does each ticket cost?

Mathematics
1 answer:
babymother [125]3 years ago
5 0
A= adult
C= child

3A+C = 38.3
A+3C = 52

There is no logical way to find the value of each other than guess-and-check.

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Explain how to find a common denominator of 3/4 and 1/5 what is a common denominator of 3/4 and 1/5 show how you can rename 3/4
Paul [167]

Answer:

Common denominator = 20

New fractions are: \dfrac{15}{20}\ and\ \dfrac{4}{20}

Step-by-step explanation:

Given:

The fractions are given as:

\dfrac{3}{4}\ and\ \dfrac{1}{5}

The denominators of the first fraction is 4 and that of the second fraction is 5.

In order to find the common denominator for 4 and 5, we have to find the least common multiple of each of the numbers.

Multiples of 4 = 4, 8, 12, 16, <u>20</u>, 24, 28,....

Multiples of 5 = 5, 10, 15, <u>20</u>, 25, 30,....

Therefore, the least common multiple of 4 and 5 is 20. So, the common denominator is 20.

Now, multiply the numerator and denominator of each fraction by the same suitable number such that the denominator becomes 20.

So, for the first fraction, 4 is in the denominator.

So, 4 when multiplied by 5 gives 20.

So, we multiply the numerator and denominator of first fraction by 5. This gives,

\dfrac{3}{4}=\dfrac{3\times 5}{4\times 5}=\dfrac{15}{20}

Now, for the second fraction, 5 is in the denominator.

So, 5 when multiplied by 4 gives 20.

So, we multiply the numerator and denominator of first fraction by 4. This gives,

\dfrac{1}{5}=\dfrac{1\times 4}{5\times 4}=\dfrac{4}{20}

Therefore, the new fractions after making the denominators same are:

\dfrac{15}{20}\ and\ \dfrac{4}{20}

4 0
3 years ago
Subtract the rational expression
malfutka [58]
The correct answer is B
6 0
2 years ago
Find two numbers if their ratio is 9:11 and their difference is 6.
balu736 [363]

Answer:

27:33

Step-by-step explanation:

If u multiply both sides of the ratio by the same number, u get an equivalent ratio. By multiplying 9:11 by 3 on both sides, you get 27:33. The difference refers to subtraction. 33-27= 6 which is the difference between the two numbers.

4 0
3 years ago
Read 2 more answers
During a concert, $3280 was received. A total of 760 people attended. Reserved seats were $6 and general admission seats were $4
Andre45 [30]

Answer:

The number of reserved seat is 120 and number of general seat is 640.

Step-by-step explanation:

Given,

Total number of seats = 760

Total collected Money = $3280

Solution,

Let the total number of reserved seat be x.

And  the total number of general seat be y

Hence total number of seats is the sum of total number of reserved seat and  the total number of general seats.

So the equation can be written as;

x+y=760\ \ \ \ equation\ 1

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.

So the equation can be written as;

6x+4y=3280\ \ \ \ \ equation\ 2

Now, multiplying equation 1 by 4 and then subtract it from equation 2.

4x+4y=3040

(6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120

On substituting the value of x in equation 1, we get;

x+y=760\\120+y=760\\y=760-120=640

Thus the number of reserved seat is 120 and number of general seat is 640.

8 0
2 years ago
Find the vertex of an angle of an isosceles triangle if one base angle is 8 less than half the vertex?
skad [1K]
Vertex angle = x
1 base angle = 1/2x - 8

180-x = (1/2x-8)x2
180-x = x-16
196-x = x
196 = 2x
x=98

If you want explanation please ask me .
8 0
2 years ago
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